On Application of Set Theory to Some Aspects of Real Analysis and Topology

Main Article Content

Eziokwu, C. Emmanuel
Onyenso, G. Ugoeze

Abstract

Set as a collection of mathematical elements makes more meaning in classical analysis and topology. There are diverse forms of its existence and operations. In the course of this work, we discussed its various operations such as union intersection complementation and its various algebras. The application of the various algebra in real analysis and metric space topology was peripherally discussed. Conclusively, we discovered that set is an all round player in analytical and topology mathematics.

Keywords:
Function, metric space, partial ordering, relation, set, sets of real numbers.

Article Details

How to Cite
C. Emmanuel, E., & G. Ugoeze, O. (2020). On Application of Set Theory to Some Aspects of Real Analysis and Topology. Asian Journal of Pure and Applied Mathematics, 1(1), 51-75. Retrieved from http://globalpresshub.com/index.php/AJPAM/article/view/800
Section
Review Article